Question

Are the triangles in the given figure similar? If yes, by which test? 

Answer 1

Given:
PQ = 6, PR = 10, QR = 8
LM = 3, LN = 5, MN = 4

Now,

`"PQ"/"LM" = 6/3 = 2`    ...(i)

`"QR"/"MN" = 8/4 = 2`    ...(ii)

`"RP"/"NL" = 10/5 = 2`    ...(iii)

From (i), (ii) and (iii)

∴ `"PQ"/"LM" = "QR"/"MN" = "RP"/"NL"`

By SSS test of similarity,

△PQR ∼ △LMN